1dimensionale

1dimensionale is the Italian term meaning one-dimensional. It is used to describe objects, spaces, or models that have exactly one spatial dimension. In mathematics and geometry, a one-dimensional object is locally like a line. The real line is the canonical example, and a one-dimensional manifold includes curves such as open intervals or closed loops (for example, circles, S^1). The dimension is understood as the minimum number of coordinates needed to specify a point on the object or, equivalently, the number of independent directions at a point.

In physics, one-dimensional models are common tools for simplifying analysis and highlighting essential features of systems. The one-dimensional Schrödinger equation describes a quantum particle confined to a line, with classic problems including a particle in a box or a delta-function potential. In condensed matter and statistical mechanics, one-dimensional systems often exhibit distinct behavior due to enhanced fluctuations; notable examples include the one-dimensional Ising model in certain limits and Luttinger liquids, which model interacting electrons in narrow wires.

In computing and data representation, the term 1D refers to structures or analyses involving a single coordinate axis. This includes one-dimensional data arrays or vectors and 1D plots or spectra, where information is described along a single horizontal axis.

The term appears across Italian-language science, engineering, and mathematics to designate the one-dimensional case or space, in contrast to bidimensionale (two-dimensional) and tridimensionale (three-dimensional). See also dimension, manifold, and related concepts in mathematics and physics.